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Simplifying 10z + 8 = 4z + 10 Reorder the terms: 8 + 10z = 4z + 10 Reorder the terms: 8 + 10z = 10 + 4z Solving 8 + 10z = 10 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 8 + 10z + -4z = 10 + 4z + -4z Combine like terms: 10z + -4z = 6z 8 + 6z = 10 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + 6z = 10 + 0 8 + 6z = 10 Add '-8' to each side of the equation. 8 + -8 + 6z = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 6z = 10 + -8 6z = 10 + -8 Combine like terms: 10 + -8 = 2 6z = 2 Divide each side by '6'. z = 0.3333333333 Simplifying z = 0.3333333333
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